Let A = {1,2, 3, 4, 5}, B = {w,x, y, z}, ƒ : A → B given by f = {(1,w), (2, x), (3, x), (4, y), (5, y)}, A1 = {1}, A2 = {1,2}, A3 = A, = {2,3, 4, 5}.Find f(A1),f(A2), f(A3), f(A4),f(A5) {1,2, 3}, A4 = {2, 3}
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Answer:
f(1)=1
2
=1
f(2)=2
2
=4
f(3)=3
2
=9
f(4)=4
2
=16
f(5)=5
2
=25
Hence, the range of the function is {1,4,9,16,25}
Since the elements in co-domain does not equal to the elemets in range ⇒f is not onto.
Step-by-step explanation:
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